Maximally entangled mixed states for qubit-qutrit systems

Paulo E.M.F. Mendonça, Marcelo A. Marchiolli, Samuel R. Hedemann

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

We consider the problems of maximizing the entanglement negativity of X-form qubit-qutrit density matrices with (i) a fixed spectrum and (ii) a fixed purity. In the first case, the problem is solved in full generality whereas, in the latter, partial solutions are obtained by imposing extra spectral constraints such as rank deficiency and degeneracy, which enable a semidefinite programming treatment for the optimization problem at hand. Despite the technically motivated assumptions, we provide strong numerical evidence that threefold degenerate X states of purity P reach the highest entanglement negativity accessible to arbitrary qubit-qutrit density matrices of the same purity, hence characterizing a sparse family of likely qubit-qutrit maximally entangled mixed states.

Original languageEnglish
Article number022324
JournalPhysical Review A
Volume95
Issue number2
DOIs
StatePublished - 21 Feb 2017

Fingerprint

Dive into the research topics of 'Maximally entangled mixed states for qubit-qutrit systems'. Together they form a unique fingerprint.

Cite this